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Simplifying 7x + 12y + -6x + 9y = 0 Reorder the terms: 7x + -6x + 12y + 9y = 0 Combine like terms: 7x + -6x = 1x 1x + 12y + 9y = 0 Combine like terms: 12y + 9y = 21y 1x + 21y = 0 Solving 1x + 21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21y' to each side of the equation. 1x + 21y + -21y = 0 + -21y Combine like terms: 21y + -21y = 0 1x + 0 = 0 + -21y 1x = 0 + -21y Remove the zero: 1x = -21y Divide each side by '1'. x = -21y Simplifying x = -21y
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